Valley Zeeman effect and Landau levels in two-dimensional transition metal dichalcogenides
This paper presents a theoretical description of both the valley Zeeman effect (g-factors) and Landau levels in two-dimensional H-phase transition metal dichalcogenides (TMDs) using the Luttinger-Kohn approximation with spin-orbit coupling. At the valley extrema in TMDs, energy bands split into Land...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033256 |
| _version_ | 1827286033431003136 |
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| author | Fengyuan Xuan Su Ying Quek |
| author_facet | Fengyuan Xuan Su Ying Quek |
| author_sort | Fengyuan Xuan |
| collection | DOAJ |
| description | This paper presents a theoretical description of both the valley Zeeman effect (g-factors) and Landau levels in two-dimensional H-phase transition metal dichalcogenides (TMDs) using the Luttinger-Kohn approximation with spin-orbit coupling. At the valley extrema in TMDs, energy bands split into Landau levels with a Zeeman shift in the presence of a uniform out-of-plane external magnetic field. The Landau level indices are symmetric in the K and K^{′} valleys. We develop a numerical approach to compute the single-band g-factors from first principles without the need for a sum over unoccupied bands. Many-body effects are included perturbatively within the GW approximation. Nonlocal exchange and correlation self-energy effects in the GW calculations increase the magnitude of single-band g-factors compared to those obtained from density functional theory. Our first-principles results give spin- and valley-split Landau levels, in agreement with recent optical experiments. The exciton g-factors deduced in this work are also in good agreement with experiment for the bright and dark excitons in monolayer WSe_{2}, as well as the lowest-energy bright excitons in MoSe_{2}-WSe_{2} heterobilayers with different twist angles. |
| first_indexed | 2024-04-24T10:24:43Z |
| format | Article |
| id | doaj.art-445ba5d1859a4d7ba1c3454e223edc27 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:24:43Z |
| publishDate | 2020-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-445ba5d1859a4d7ba1c3454e223edc272024-04-12T16:58:56ZengAmerican Physical SocietyPhysical Review Research2643-15642020-08-012303325610.1103/PhysRevResearch.2.033256Valley Zeeman effect and Landau levels in two-dimensional transition metal dichalcogenidesFengyuan XuanSu Ying QuekThis paper presents a theoretical description of both the valley Zeeman effect (g-factors) and Landau levels in two-dimensional H-phase transition metal dichalcogenides (TMDs) using the Luttinger-Kohn approximation with spin-orbit coupling. At the valley extrema in TMDs, energy bands split into Landau levels with a Zeeman shift in the presence of a uniform out-of-plane external magnetic field. The Landau level indices are symmetric in the K and K^{′} valleys. We develop a numerical approach to compute the single-band g-factors from first principles without the need for a sum over unoccupied bands. Many-body effects are included perturbatively within the GW approximation. Nonlocal exchange and correlation self-energy effects in the GW calculations increase the magnitude of single-band g-factors compared to those obtained from density functional theory. Our first-principles results give spin- and valley-split Landau levels, in agreement with recent optical experiments. The exciton g-factors deduced in this work are also in good agreement with experiment for the bright and dark excitons in monolayer WSe_{2}, as well as the lowest-energy bright excitons in MoSe_{2}-WSe_{2} heterobilayers with different twist angles.http://doi.org/10.1103/PhysRevResearch.2.033256 |
| spellingShingle | Fengyuan Xuan Su Ying Quek Valley Zeeman effect and Landau levels in two-dimensional transition metal dichalcogenides Physical Review Research |
| title | Valley Zeeman effect and Landau levels in two-dimensional transition metal dichalcogenides |
| title_full | Valley Zeeman effect and Landau levels in two-dimensional transition metal dichalcogenides |
| title_fullStr | Valley Zeeman effect and Landau levels in two-dimensional transition metal dichalcogenides |
| title_full_unstemmed | Valley Zeeman effect and Landau levels in two-dimensional transition metal dichalcogenides |
| title_short | Valley Zeeman effect and Landau levels in two-dimensional transition metal dichalcogenides |
| title_sort | valley zeeman effect and landau levels in two dimensional transition metal dichalcogenides |
| url | http://doi.org/10.1103/PhysRevResearch.2.033256 |
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